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Finding the Third Proportional to 1,866.75 and 2,758.13

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Solution

The third proportional to 1,866.75 and 2,758.13 is: 4,075.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.75 : 2,758.13 = 2,758.13 : x
  2. Step 2: Convert to fraction form
    1,866.75/2,758.13 = 2,758.13/x
  3. Step 3: Cross multiply
    1,866.75x = 2,758.13 × 2,758.13
  4. Step 4: Simplify right side
    1,866.75x = 7,607,253.52
  5. Step 5: Solve for x
    x = 7,607,253.52/1,866.75
  6. Step 6: Final answer
    x = 4,075.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.